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Finding the Third Proportional to 1,091,196 and 2,369,016

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Solution

The third proportional to 1,091,196 and 2,369,016 is: 5,143,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,196 : 2,369,016 = 2,369,016 : x
  2. Step 2: Convert to fraction form
    1,091,196/2,369,016 = 2,369,016/x
  3. Step 3: Cross multiply
    1,091,196x = 2,369,016 × 2,369,016
  4. Step 4: Simplify right side
    1,091,196x = 5,612,236,808,256
  5. Step 5: Solve for x
    x = 5,612,236,808,256/1,091,196
  6. Step 6: Final answer
    x = 5,143,197.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.